Wa. Bardeen et Ct. Hill, CHIRAL DYNAMICS AND HEAVY-QUARK SYMMETRY IN A SOLVABLE TOY FIELD-THEORETIC MODEL, Physical review. D. Particles and fields, 49(1), 1994, pp. 409-425
We study a solvable QCD-like toy theory, a generalization of the Nambu
-Jona-Lasinio model, which implements chiral symmetries of light quark
s and heavy quark symmetry. The chiral symmetric and chiral broken pha
ses can be dynamically tuned. This implies a parity-doubled heavy-ligh
t meson system, corresponding to a (0-, 1-) multiplet and a (0+, 1+) h
eavy spin multiplet. Consequently the mass difference of the two multi
plets is given by a Goldberger-Treiman relation and g(A) is found to b
e small. The Isgur-Wise function xi(omega), the decay constant f(B), a
nd other observables are studied.